Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
Answer:
y = -x - 7.9
Step-by-step explanation:
Given:
m = -1
b = -7.9
y = mx + b
y = -x - 7.9
Answer:
(f • g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
This means only the first answer choice is applicable.
Answer: The overall percent loss is 28%.
Step-by-step explanation: Given that a stock loses 10% of its value on Monday and on Tuesday it loses 20% of the value it had at the end of the day on Monday.
We are to find the overall percent loss in value from the beginning of Monday to the end of Tuesday.
Let x represents the value of a stock at the beginning of Monday.
Then, the value of the stock at the end of Monday is given by

So, the value of the stock at the beginning of Tuesday is 
Therefore, the value of the stock at the end of Tuesday is given by

Thus, the overall percent loss is 28%.
The equation that best represents the relationship between
the number of loaves of bread which is denoted by b and the number of cups of
bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas is needed to make
5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼
represents how many cups is needed to make 1 loaf of bread.